x^2-18x+405=0

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Solution for x^2-18x+405=0 equation:


Simplifying
x2 + -18x + 405 = 0

Reorder the terms:
405 + -18x + x2 = 0

Solving
405 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-405' to each side of the equation.
405 + -18x + -405 + x2 = 0 + -405

Reorder the terms:
405 + -405 + -18x + x2 = 0 + -405

Combine like terms: 405 + -405 = 0
0 + -18x + x2 = 0 + -405
-18x + x2 = 0 + -405

Combine like terms: 0 + -405 = -405
-18x + x2 = -405

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -405 + 81

Reorder the terms:
81 + -18x + x2 = -405 + 81

Combine like terms: -405 + 81 = -324
81 + -18x + x2 = -324

Factor a perfect square on the left side:
(x + -9)(x + -9) = -324

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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